8 citations · 8 across the 1 of their papers we have counts for
2 papers
math.DG2019★ 8 cited
Min-max minimal surfaces, horizons and electrostatic systems
Tiarlos Cruz, Vanderson Lima, Alexandre de Sousa
We present a connection between minimal surfaces of index one and General Relativity. First, we show that for a certain class of (electro)static systems, each of its unstable horiz…
math.DG2015
The Gauss-Bonnet-Chern mass of higher codimension graphical manifolds
Alexandre de Sousa, Frederico Girão
We give an explicit formula for the Gauss-Bonnet-Chern mass of an asymptotically flat graphical manifold of arbitrary codimension and use it to prove the positive mass theorem and…